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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Thus, in this case, we have <span class="process-math">\(n\)</span> linear independent solutions:</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
{\bf x}^{(1)}=\vec{\xi}^{(1)} e^{r_1 t},\quad {\bf x}^{(2)}=\vec{\xi}^{(2)} e^{r_2 t},\cdots {\bf x}^{(n)}=\vec{\xi}^{(n)} e^{r_n t}.
\end{equation*}
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<p class="continuation">The general solution is</p>
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\begin{equation*}
{\bf x}=C_1 \vec{\xi}^{(1)}e^{r_1 t}+C_2 \vec{\xi}^{(2)} e^{r_2 t}+\cdots \vec{\xi}^{(n)} e^{r_n t}.
\end{equation*}
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